Question

1. Raphael bought eight pens and nine erasers from a shop and paid GHC 33. His friend, Yao bought five similar pens and six erasers from the same shop and paid GHC 21. Calculate the price of the pen and the erasers respectively.​

Answer 1

The price of the pen and the erasers Raphael and his friend bought are GHC 3 and GHC 1 respectively.

How to solve equation simultaneously

let

x = price of pen

y = price of erasers

The equation

8x + 9y = 33

5x + 6y = 21

• multiply (1) by 6 and (2) by 9

48x + 54y = 198

45x + 54y = 189

• subtract to eliminate y

48x - 45x = 198 - 189

3x = 9

x = 9/3

x = 3

substitute into (1)

8x + 9y = 33

8(3) + 9y = 33

24 + 9y = 33

9y = 33 - 24

9y = 9

y = 9/9

y = 1

How to solve simultaneous equation:

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